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Fourier series Fourier Transformation

phases. In the first example, we can understand that you can combine any piece of music by tapping different keys at different times. One of the methods that run through the time domain and frequency domain is the Fourier analysis in the text of the biography. Fourier analysis can be divided into Fourier series (Fourier Serie) and Fourier Transformation (Fourier transformation). Let's start with a simple introduction.2. Spectrum of Fourier Series Let

If you do not understand Fourier transform after reading this article, you can throw me to death. [full version]

domain and frequency domain is the Fourier analysis in the text of the biography. Fourier analysis can be divided into Fourier series (Fourier Serie) and Fourier Transformation (Fourier transformation). Let's start with a simple introduction. 2. Spectrum of Fourier Series Let's just give a chestnut and understand it with a picture of the truth. If I say that I can use the sine wave mentioned above to create a rectangular wave with a 90 degree angle,

Fourier analysis (Popular interpretation)

completely recognized? Textbooks are usually given here and then left to the reader endless reverie, and endless spit groove, in fact, as long as the textbook to fill a picture is enough: frequency domain image, known as the spectrum, is-- A little clearer: It can be found that in the spectrum, the amplitude of even-numbered items is 0, which corresponds to the color line in the graph. Sine wav

If you don't understand the Fourier transform, then come and strangle me. "Full Version"

spit groove, in fact, as long as the textbook to fill a picture is enough: frequency domain image, known as the spectrum, is--A little clearer:It can be found that in the spectrum, the amplitude of even-numbered items is 0, which corresponds to the color line in the graph. Sine wave with an amplitude of 0.Moving diagram please poke:File:fourier Series and Transform.gifTo be honest, when I was studying the

Understanding of Fourier analysis

rotatedAnd here:Point out of the friends do not be turned off the wiki, Wiki wrote where the article is not moral integrity this is not.After introducing the basic elements of the frequency domain, we can look at a rectangular wave, another pattern in the frequency domain:What kind of strange thing is this?This is the appearance of the rectangular wave in the frequency domain, is not completely recognized? Textbooks are usually given here and then left to the reader endless reverie, and endless

[Automatic Speech Recognition Course] Lesson 2 Speech Signal Analysis

[Portal] [Automatic Speech Recognition Course] Lesson 1 Statistical Speech Recognition Address: http://blog.csdn.net/joey_su/article/details/36414877 Please indicate the source for reprinting. Please contact us. Overview ASR Speech Signal Analysis Features Spectrum Analysis Cepstrum Analysis Standard features: MFCC and PLP Analysis Dynamic Features At the end of the first lesson, we mentioned the block diagram of speech recognition, which sh

Signal processing must-read articles (-)-The Choke tutorial for Fourier analysis (full version) _ Reproduced to Know

rectangular wave in the frequency domain, is not completely recognized? Textbooks are usually given here and then left to the reader endless reverie, and endless spit groove, in fact, as long as the textbook to fill a picture is enough: frequency domain image, known as the spectrum, is--A little clearer:It can be found that in the spectrum, the amplitude of even-numbered items is 0, which corresponds to th

Signal processing must-read articles (-)-The Choke tutorial for Fourier analysis (full version) _ Reproduced to Know

wave in the frequency domain, is not completely recognized? Textbooks are usually given here and then left to the reader endless reverie, and endless spit groove, in fact, as long as the textbook to fill a picture is enough: frequency domain image, known as the spectrum, is--A little clearer:It can be found that in the spectrum, the amplitude of even-numbered items is 0, which corresponds to the color line

If you don't understand the Fourier transform if you read this, come and strangle me.

integrity this is not.After introducing the basic elements of the frequency domain, we can look at a rectangular wave, another pattern in the frequency domain:What kind of strange thing is this?This is the appearance of the rectangular wave in the frequency domain, is not completely recognized? Textbooks are usually given here and then left to the reader endless reverie, and endless spit groove, in fact, as long as the textbook to fill a picture is enough: frequency domain image, known as the

Wireless access technology of ROF-PON Based on Cognitive Radio

With the development of the communication network towards broadband and mobile, the optical fiber wireless communication system (ROF) integrates Optical Fiber Communication and wireless communication, giving full play to the advantages of broadband and anti-interference of optical fiber lines, at the same time, it makes full use of the convenient and flexible wireless communication to meet people's needs for broadband. Early ROF technology was designed to provide high-frequency wireless transmis

Cognitive Radio and its networking technology

With the rapid development of wireless communication technology, spectrum resources, especially those under 3 GHz, become increasingly tense. Due to the emergence of Wireless LAN technology and wireless network technology, more and more people are using these technologies to connect to the Internet and telecommunication networks wirelessly. Most of these technologies use non-authorized frequency bands to make these frequencies saturated. However, some

Analysis of service access capability of GSM network after upgrading to GPRS

Summary Starting from the analysis of GSM spectrum efficiency, this paper analyzes the loss of spectrum efficiency of voice service after the GSM network is upgraded to GPRS, and the new data service access ability, and finally takes into account the maximum access ability of the integrated service under GSM current spectrum from the mutual substitution between

Cepstrum cepstrum Review

During the course of study, this parameter is often used. Later I worked mainly on audio/speech codec, but the concept of cepstrum was rarely used. I saw these words when I read a paper today, I think it is very practical. Let's review this signal feature. Time-cepstrum analysis is very effective when extracting the signal characteristics transmitted by the carrier. Cepstrum is widely used in the extraction of Speech Recognition feature parameters. This is because the essence of speech is the

Deep understanding of Fourier transform (repost)

to implement spectrum analysis or other work on the computer. The computer's requirement for signals is that both the time domain and frequency domain must be discrete and must be finite. While Fourier transform (FT) can only process continuous signals, DFT is born in response to such a need. It is the representation of Fourier transformation in discrete fields. However, in general, the calculation of DFT is very large. Before the first high-speed Fo

Deep understanding of Fourier transform (repost)

, signal processing, and other fields. We hope to implement spectrum analysis or other work on the computer. The computer's requirement for signals is that both the time domain and frequency domain must be discrete and must be finite. While Fourier transform (FT) can only process continuous signals, DFT is born in response to such a need. It is the representation of Fourier transformation in discrete fields. However, in general, the calculation of DFT

Deep understanding of Fourier transform (repost)

to implement spectrum analysis or other work on the computer. The computer's requirement for signals is that both the time domain and frequency domain must be discrete and must be finite. While Fourier transform (FT) can only process continuous signals, DFT is born in response to such a need. It is the representation of Fourier transformation in discrete fields. However, in general, the calculation of DFT is very large. Before the first high-speed Fo

How to Use FFT

FFT (Fast Fourier transformation) is a classic algorithm used for digital signal processing. Many people who have studied DSP or chip design know this algorithm. However, have you ever wondered why there are so many FFT operations in digital signal processing? Some may say that in order to analyze the signal spectrum. The problem below is to analyze the daily needs of the spectrum, such as mobile phone call

Classical algorithm Research series: Ten, from beginning to end thoroughly understand the Fourier transform algorithm, the next

of complex numbers.We know that in the real Fourier transform, its spectrum is 0 ~π (0 ~ n/2), but cannot represent the spectrum of-π~ 0, it can be foreseen that if the positive cosine is expressed in the plural form, it can be included in the negative frequency.Second, the variables before and after the transformation are considered plural formsThe complex form Fourier transform the original signal x[n] a

Features of four wireless extended Communication Technologies

The features of the four wireless extended communication technologies are completely explained. First, let everyone understand the features of the wireless extended communication technology, and then fully introduce the features of the wireless extended communication technology. It does not matter. After reading this article, you will certainly have a lot of GAINS, I hope this article will teach you more things. The so-called spread-spectrum communica

What is PN Code (PN Code technology for CDMA systems)

The principle of PN Code synchronization in 1.CDMA system The transmitter and receiver adopt high accuracy and high stability clock frequency source to ensure the stability of frequency and phase. But in the practical application, there are many uncertain factors, such as the instability of sending and receiving clocks, uncertainty of launch time, transmission delay and interference, especially in mobile communication, these uncertainties are random, can not be compensated in advance and can on

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